Answer:
5 or (-2,5)
Step-by-step explanation:
|2x-3|<7
2x-3<7
2x=10
x=5
Answer:
x < 5
Step-by-step explanation:
Add 3 to both sides of the equation. This is to balance the equation.2x - 3 + 3 < 7 + 3
Now, add 7 and 3.7 + 3 = 10
Add -3 and positive 3.-3 + 3 = 0
= 2x + 0
= 2x
Now, the problem becomes,2x < 10
Divide by 22x/2 < 10/2
Divide by 2: 10/210/2 = 5
Divide by 2: 2x2x/2 = 2/2
= x (We assume x = 1)
Divide both numbers= 5/1
= 5
Therefore,
x < 5
Hope this helps!
Use the information given to enter an equation in standard form.
Slope is 6, and (1, 8) is on the line.
Answer:
y=6x+2
Step-by-step explanation:
y=mx+c
8=6(1)+c
8=6+c
c=2
y=6x+2
There are 103 fifth graders at brookside elementary .for a read thon 5 students read for 100 minutes 25 students read for 50 minutes and rest of the fifth graders read for 30 minutes . how many minutes did the fifth graders read.
The fifth graders are read for total 180 minutes.
What do you mean by minutes?
A 60-second interval of time. In an hour, there are 60 minutes. For illustration, the time 10:35 is 35 minutes after 10 o'clock. A minute is equivalent to 1/60th of a degree in terms of angles.
According to the given question,
First 5 students read for 100 minutes.
Then, next 25 studenda read for 50 minutes.
And the rest of the fifth graders read for 30 minutes.
Now, we will adding all the minutes to obtain the answer or total minutes of fifth grader read,
Total minutes of fifth graders read= 100+50+30
=180 minutes.
Therefore, the fifth graders take 180 minutes to read.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The maximum height covered is 32m and the time taken to reach maximum height is 1.25 seconds
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change = change in y / change in x. Rates of change can be positive or negative.
h(t) = -16[tex]t^{2}[/tex] +40t + 7
at maximum height the rate of change of h(t) with respect to t is zero.
so [tex]\frac{dh(t)}{dt}[/tex] = 0
but [tex]\frac{dh(t)}{dt}[/tex] = -32t + 40
so,
-32t + 40 = 0
32t = 40
t = 40/32
t = 1.25
to find h(t), we substitute t = 1.25 into the equation above
h(t) = -16[tex](1.25)^{2}[/tex] + 40(1.25) + 7
h(t) = 32m
In conclusion, the maximum height reached is 32m and the time taken to reach maximum height is 1.25 seconds
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Which of the following is NOT a SOLUTION to the inequality shown? *
y> 2x - 3
A. (4,3)
B. (-1,5)
C. (-2,-5)
The equation D show the multiplication property of inequality if n+4 =11
What is inequality?
inequality, In mathematics if a statement of an order relationship—greater or greater than or equal to, less than, or less than or equal between two number or algebraic expressions.
An inequality show the relationship between two values in an algebraic equations that are not equal.
Sol-
If n+4 =11
Then by applying the product rule -
(n+4)×2 =11×2
So the correct option is D.
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14. Rewrite the fraction so that the numerator
and denominator have the same units. Then
simplify.
350 g
1 kg
The simplification of the fraction would be;
[tex]= \frac{350g}{1kg}[/tex]
[tex]= \frac{350g}{1000g}=\frac{7}{20}g= 0.35g[/tex]
What is fraction?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
In a simple fraction, both are integers.
A complex fraction has a fraction in the numerator or denominator.
In a proper fraction, the numerator is less than the denominator.
Explanation of the answer:
Given that :
350g/1kg
Firstly we convert kilogram into gram:
1 kg = 1000 g
The mass m in grams (g) is equal to the mass m in kilograms (kg) times 1000:
m(g) = m(kg) × 1000
So the given values are changes into:
[tex]\frac{350g}{1000g}\\[/tex]
[tex]= \frac{7g}{20g}[/tex](divide numerator and denominator by 50)
[tex]\\=0.35g[/tex]
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write a word problem that uses mixed numbers and asks to find the unit price of an item
A word problem that uses mixed numbers and asks to find the unit price of an item is " The price of a cup of rice is $2. Find the price of 3 1/2 cups.
How to illustrate the information?From the information given, we want to find the word problem that uses mixed numbers and asks to find the unit price of an item.
This can be illustrated as the price of a cup of rice is $2. Find the price of 3 1/2 cups.
Therefore, the price of the cups of rice will be:
= 3 1/2 × $2
= $7
The price is $7.
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poisson distribution is applied for a. continuous random variable b. discrete random variable c. irregular random variable d. uncertain random variable
Poisson Distribution along with Binomial Distribution is applied for Discrete Random variable.
What is discrete variable and example?
Counting is the method used to determine the value of a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. number of heads when three coins are flipped. grade level of the pupils.What is discrete and continuous random variable?
The range of possible values for a discrete random variable is finite. Any value could be assigned to a continuous random variable (usually within a certain range). Although it could be a rational fraction, a discrete random variable is normally an integer.Learn more about discrete random variable
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Can anyone write the equation of the graph?
The function of the graph is f(x) = |x - 3| + 5
How to find the equation of the graph line?From the question, we have the graph that can be used in our computation:
Given that the graph is an absolute value graph
We start by calculating the vertex of the graph
In this case, the minimum point on the graph is located at the point (3, 5)
This means that
Vertex = (3, 5) i.e. (h, k) = (3, 5)
Recall that the general form of an absolute value function is f(x) = |x - h| + k
Substitute the known values in the above equation
So, we have the following equation
f(x) = |x - 3| + 5
On the graph, we have
(x, f(x)) = (2, 6)
So, we have
6 = a|2 - 3| + 5
This gives
a = 1
So, we have
f(x) = 1 * |x - 3| + 5
Evaluate
f(x) = |x - 3| + 5
Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5
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Please help meee!!!!!!
The required value of "b" is 7, where the equation is y = -3x + 7.
As per the given table, we take the two points (9, 1) and (3,7).
y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -3, y₁ = 16
x₂ = 1, y₂ = 4
y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute the values in the above equation,
y - 16 = [(4 - 16)/(1 - (-3))](x - (-3))
y - 16 = (-12/4)(x+3)
y - 16 = -3(x+3)
y - 16 = -3x - 9
y = -3x - 9 + 16
y = -3x + 7 ....(i)
Compare the given equation y = mx + b with the above equation, and we get
b = 7
Therefore, the required value of "b" is 7.
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A box is put on a table. The face of the box in contact with the table is in the shape of a rectangle, 2 m by 1.25m. The pressure on the table due to the box is 42 newtons/m² Work out the force exerted by the box on the table.
Answer:
105 N
Step-by-step explanation:
You want the force exerted on an area 2 m by 1.25 m by a pressure of 42 N/m².
AreaThe area is ...
A = LW
A = (2 m)(1.25 m) = 2.50 m²
ForceThe force is the product of the pressure and the area:
F = PA
F = (42 N/m²)(2.5 m²) = 105 N
The box exerts a force of 105 N on the table.
Monty spends 2.5 hours playing basketball each
day. What is the total amount of time (in hours)
hat Monty spent playing basketball after 7
days?
Answer:
Your answer is 17.5 hours
Step-by-step explanation:
Simply multiply 2.5 and 7 to get your answer.
You have to multiply the number of hours by the number of days to get the correct product or answer.
In 2005, there were 12,458 fish in Hound's Tooth
Lake. After years of drought, there were only
968 fish in 2010. Find the rate of change in the
population of fish for 2005–2010.
For the period 2005–2010, the drought caused a change in fish population of 2298 fishes each year.
Define the term rate of change?The term "rate of change" (ROC) describes the rate at which an object changes over time. Thus, it is not the amount of specific changes themselves but rather the acceleration and deceleration all changes (i.e., the rate).According to the specified question-
Hound's Tooth Lake had 12,458 fish in it in 2005.In 2010, there were just 968 fish after years of drought.Rate of change = (final number - initial number)/(final year - initial year)
Rate of change = (12,458 - 968)/(2010 - 2005)
Rate of change = -11490/5
Rate of change = -2298 fishes per year.
Negative sign shows there is a decline in the number.
Thus, for the time period 2005–2010, the drought caused a change in fish population of 2298 fishes each year.
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Check the month and dollar value that represent a correct ordered pair. In April, Cathy's Clothmart had a profit of $3,000. In May, the profit was $4,000. In June, the profit was $5,000. April May June July $1,000 $2,000 $4,000 $6,000
The Cathy's Clothmart job had a profit comprises of pairings of the form (x,y), where the two integers are paired because of some relation.
In this instance, the relation is effectively "in month x it truly had a profit y" The ordered pairs are then, in a really significant sense, (April, 3000), (May, 4000), and (June, 5000). The ordered pairs can be written as follows if the month's number is used to identify them: (4,3000), (5,4000), They generally believed that both kinds of ordered pairings are generally correct.
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May, 4,000
The only correct pair is may and 4,000 because the other options don't have the proper profit to represent the corresponding months.
What is the quotient of 3.243 x 10^8 and 7.05 x 10^2
Answer:
4,600,000,000
Step-by-step explanation:
Don't forget the order of operations
3.243 × 10⁸/7.05
= 46,000,000 × 10²
= 4,600,000,000
or 4.6 × 10⁹
Answer:
4.6x10 to the power of 5
Step-by-step explanation:
7.05×10
2
3.243×10
8
Divide them.
\frac{3.243}{7.05}\times \frac{10^8}{10^2}
7.05
3.243
×
10
2
10
8
Divide numbers and 10's separeately.
0.46\times 10^6
0.46×10
6
Subtract exponents.
(4.6\times 10^{-1})\times 10^6
(4.6×10
−1
)×10
6
Rewrite as a number bigger than 1
4.6\times (10^{-1}\times 10^6)
4.6×(10 −1 ×10 6 )
Associate
4.6\times 10^5
4.6×10 5
Add exponents
A lines Y intercept is changed from -1 to 0 which way did it shift
By studying the change of the y-intercept, we can see that the shift is of one unit upwards.
In which way did the line shift?
We know that the original y-intercept of the line is y = -1, then the line is of the form:
y = a*x - 1
Where a is the slope.
Now we apply a vertical shift of N units, this is written as:
y = a*x - 1 + N
And we know that the new y-intercept is 0, so:
y = a*0 - 1 + N = 0
y = -1 + N = 0
-1 + N = 0
N = 1
The shift is of 1 unit up.
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Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then factor the trinomial.
n-18n+
We need to add 81 as the constant term to the binomial (n² - 18n) so that the resulting trinomial is a perfect square, and factorization of that resulting trinomial will be (n - 9).
As per the question statement, we are provided with a binomial (n² - 18n),
And we are required to add a proper constant to the above mentioned binomial so that the resulting trinomial is a perfect square, and then factorise the resulting trinomial.
To answer question, first we need to know the standard form of expanding a perfect square into a trinomial, which goes as,
[(a - b)² = {(a)² + (b)² - (2 * a * b)]
Here, if we compare our concerned binomial (n² - 18n), or, [(n)² - (2 * n * 9)], with the above mentioned standard expansion of a perfect square into a trinomial, we get, (a = n) and (b = 9), and the (b²) term is missing.
Adding [(b²) = (9²) = 81] which is a constant term, to our concerned binomial (n² - 18n), we get, (n² - 18n + 81),
Or, [(n)² + (9)² + (2 * n * 9)],
Which is a trinomial and matches with the standard expansion of a perfect square into a trinomial, and hence,
[(n² - 18n + 81) = (n - 9)²]
That is, we need to add 81 as the constant term to the binomial (n² - 18n) so that the resulting trinomial is a perfect square, and factorization of that resulting trinomial will be (n - 9).
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Complete the equation so that it has no solution.
9(x – 4) – 5x =__x-30
For the given equation 9(x-4) -5x = __x -30 has no solution when it is written as 9(x - 4) -5x = 4x -30.
As given in the question,
Given equation is equal to :
9 ( x - 4) - 5x = _ x - 30
Simplify Left hand side of the given equation we get,
9 ( x - 4) -5x
= 9x - 36 - 5x
Collect the like terms we have,
9x - 5x - 36
= 4x - 36
Now compare left hand side and right hand side to get no solution of the equation,
4x -36 = _x -30
Blank should be filled by 4
Therefore, for the given equation 9(x-4) -5x = __x -30 has no solution when it is written as 9(x - 4) -5x = 4x -30.
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What are the domain and range of the function f(x) = -
OD: {X E R | X + -2},R: {ye Rly +-8}
E
OD: (x = R X
4),R: {ye Rly -2}
OD: {x € R | x # 2},R: {y = R | y + 8)
x² - 4x-12?
X+2
OD:{X = R | x # -4},R: {y = R | y + 2}
The domain is { x ∈ R | x ≠ -2 }.
The range is { y ∈ R | x ≠ -8 }.
What are the domain and range of a function?
The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.
A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)
Find domain:
Set the denominator equal to zero and solve for x.
x+2=0
x=-2
This means, domain is set of all real numbers except x=2.
Set builder notation: { x ∈ R | x ≠ -2 }. R= real numbers
Find range:
Replace f(x) by y in the given equation and solve for x.
[tex]y=\frac{x^2-4x-12}{x+2}[/tex]
Write the factors of the numerator
[tex]y=\frac{(x+2)(x-6)}{x+2}[/tex]
common terms x+2 cancel out
y=x-6
x=y+6
substitute x=-2
-2=y+6
y= -8
This means range is the set of all real numbers except y= -8.
Set builder notation: { y ∈ R | y ≠ -8 }. R= real numbers
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How do you solve this? (-7 + i)(-3 + 6i).
After simplification, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.
In the given question we have to solve the given expression.
The given expression is (-7 + i)(-3 + 6i).
Using the distributive property to solve the given expression.
a(b+c)=ab+ac
Now simplifying the expression.
(-7 + i)(-3 + 6i) = -7(-3 + 6i) + i(-3 + 6i)
(-7 + i)(-3 + 6i) = (-7)*(-3) + (-7)*(6i) + (-3)i + (6i)i
(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6i^2
As we know that i^2 = -1. So
(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6(-1)
(-7 + i)(-3 + 6i) = 21 - 42i - 3i - 6
Simplifying
(-7 + i)(-3 + 6i) = 15 - 45i
Hence, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.
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Solve for a in terms of b, c, and d.
c=bad
Answer: c/bd = a
Step-by-step explanation:
What we need to do is isolate a on one side of the equal side. Now, remember that multiplication and division cancel each other out, so if we divide b and d on the right side by b and d then we cancel those values and get a by itself. Now, we have to do this on the left side as well in order to keep the equation balanced. When we do this, we get c/bd = a. Keep working hard! You're doing great!
please help. ill give brainliest
Answer:
X=30
Step-by-step explanation:
[tex](4x + 30) + (2x - 30) = 180 \\ 4x + 2x + 30 - 30 = 180 \\ 6x = 180 \\ x = 30[/tex]
Answer:
x = 30
Step-by-step explanation:
We are told that:
• m∠A = (4x + 30)°
• m∠B = (2x - 30)°,
and that these two angles are supplementary to each other.
When two angles are supplementary to each other, it means that they add up to 180°.
Therefore:
∠A + ∠B = 180°
⇒ (4x + 30)° + (2x - 30)° = 180°
⇒ 4x + 30 + 2x - 30 = 180
⇒ 4x + 2x + 30 - 30 = 180 [Combining like terms]
⇒ 6x = 180
⇒ [tex]\frac{6}{6}x = \frac{180}{6}[/tex] [Dividing both sides of the equation by 6]
⇒ x = 30
amy is making donuts as shown below the donut has a diameter of 5 inches and the center has a radius of 1 inch . what is the approximate area of the dunut? use 3. 14 for n
Answer:
The area of the dount is about 35.325 in²
Step-by-step explanation:
In order to find the area of a donut with a hole on the center we need to find the area of the center and the area of the circle of the donut (as if the donut was whole)
*The radius is half of the diameter or r = d/2
The area of a circle is A = n(3.14) r² or pi(3.14)× radius
Find the area for the center of the donut which is 3.14 × 1² which is 3.14 in² Find the area of the circle of the donut which is 3.14 × (5/2)*² the answer would be 38.465 Subtract the empty space from the rest of the donut so 38.465 - 3.14. The final answer is 35.325 in²Ruth has 36 vases of flowers. Some of the vases contain 3 daisies. The other vases contain 4 lilacs. There are 125 flowers in the vases in total. How many vases of each type of flower does Ruth have?
Answer:
13 vases of lilacs23 vases of daisiesStep-by-step explanation:
You want to know the number of vases of each type of flower if there are 36 vases containing 125 flowers, with 3 daisies or 4 lilacs in a vase.
SetupLet x and y represent daisy and lilac vases, respectively. The problem statement gives two relations:
x +y = 36 . . . . . total number of vases
3x +4y = 125 . . . total number of flowers
SolutionSubstituting for x, we have ...
x = 36 -y
3(36 -y) +4y = 125
108 +y = 125
y = 13
x = 36 -13 = 23
There are 23 vases of daisies and 13 vases of lilacs.
someone pls help this is the last question im begging you im gonna cry
Answer:
x = 10
Step-by-step explanation:
48 = x + 8 + 2x + x
48 = 4x + 8
-8 -8
40 = 4x
divide both sides by 4
10 = x or x =10
I believe the they're being multiplied by one, but I have no idea
The values, 1:5, 6:30, 10:50, 11:55 and 18:90, will complete the given ratio table.
According to the question,
We have the following information:
We have a ratio table where two rows from the beginning are given.
In these rows, we have 1:5 and 6:30.
Now, we can easily find that the number in the second column is found by multiplying 5 into the number in the first column.
Now, for the third row, we have the number in the second column,50:
x*5 = 50
x = 50/5
x = 10
Third row: 10 to 50
Fourth row:
Number in the first column = 11
11*5 = 55
11:55
Fifth row:
Number in the first column = 18
18*5 = 90
18:90
Hence, the values, 1:5, 6:30, 10:50, 11:55 and 18:90, will complete the given ratio table.
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Write the point-slope form of the equation of the line through the given point with the given
slope.
3) through: (5, 1), slope
=
1
5
The point slope form of the equation is y - 1 = [tex]\frac{1}{5}[/tex] ( x-5)
What is equation of line ?
A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
Here the given point ,
=> [tex](x_1,y_1)=(5,1)[/tex]
Slope m = [tex]\frac{1}{5}[/tex]
Here using equation formula
=> [tex]y-y_1 = m ( x- x_1)[/tex]
=> y - 1 = [tex]\frac{1}{5}[/tex] ( x-5)
Hence the point slope form of the equation is y - 1 = [tex]\frac{1}{5}[/tex] ( x-5)
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On a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.
Which line has no slope?
Line a
Line b
Line c
Line d
The line with no slope will be a horizontal line the correct option is line b.
What are lines and slopes?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that on a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.
The line with no slope will be line b because the line is a horizontal line.
Therefore, the line with no slope will be a horizontal line the correct option is line b.
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Answer:
C. Line C
Step-by-step explanation:
Edge 2023
Find the variables in the figure (x and y) please and thank you!!
Read the left colum top to bottom then the right column top to bottom, hope this helps
Write another number puzzle with at least three steps. On a different piece of paper, write
a solution to your puzzle.
Puzzle:
A man walked certain distance first. Then, walked 12 miles. Again walked twice the distance he walked at first. Now, the total distance is 42 miles. what is the initial distance?
The initial distance is 10 miles
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Puzzle:
A man walked certain distance first. Then, walked 12 miles. Again walked twice the distance he walked at first. Now, the total distance is 42 miles. what is the initial distance?
Let x= initial distance
x+12+2(x)=42
3x+12=42
3x=42-12=30
x=30/3=10 miles
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Will give u brainliest! on thses 2 questions
Answer:
1: [tex]2\sqrt{2}[/tex]
2: [tex]10\sqrt{55}[/tex]
Step-by-step explanation:
[tex]\sqrt{16-8}[/tex]
[tex]\sqrt{8}[/tex]
[tex]\sqrt{8}=2\sqrt{2}[/tex]
2:
[tex]\sqrt{\frac{11}{16+4}[/tex]
[tex]\sqrt{\frac{11}{20}[/tex]
[tex]\sqrt{.55}[/tex]
[tex]10\sqrt{55}[/tex]
Hopes this helps